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Finding the Fourth Proportional to 5,604.45, 7,733.83 and 3,086.47

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Solution

The fourth proportional to 5,604.45, 7,733.83 and 3,086.47 is: 4,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.45 : 7,733.83 = 3,086.47 : x
  2. Step 2: Convert to fraction form
    5,604.45/7,733.83 = 3,086.47/x
  3. Step 3: Cross multiply
    5,604.45x = 7,733.83 × 3,086.47
  4. Step 4: Simplify right side
    5,604.45x = 23,870,234.28
  5. Step 5: Solve for x
    x = 23,870,234.28/5,604.45
  6. Step 6: Final answer
    x = 4,259.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.